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Finding the Fourth Proportional to 10,953.12, 16,428.06 and 4,026

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Solution

The fourth proportional to 10,953.12, 16,428.06 and 4,026 is: 6,038.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,953.12 : 16,428.06 = 4,026 : x
  2. Step 2: Convert to fraction form
    10,953.12/16,428.06 = 4,026/x
  3. Step 3: Cross multiply
    10,953.12x = 16,428.06 × 4,026
  4. Step 4: Simplify right side
    10,953.12x = 66,139,369.56
  5. Step 5: Solve for x
    x = 66,139,369.56/10,953.12
  6. Step 6: Final answer
    x = 6,038.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.